Prime p₀= 2865848586285209807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Ben
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2865846720874665007	0 34 60 84 102 106 132 156 160 184 210 214 232 256 282 316	-1865410544800
STPT(10)	2865846971228881889	0 2 18 20 30 32 42 44 60 62	-1615056327918
STPT(10)	2865847008661724999	0 2 18 20 30 32 42 44 60 62	-1577623484808
SPT(16)	2865847151333196581	0 36 62 68 80 140 150 162 206 218 228 288 300 306 332 368	-1434952013226
TPT(14)	2865847366844413871	0 2 36 38 96 98 108 110 138 140 330 332 348 350	-1219440795936
STPT(10)	2865847682339167061	0 2 6 8 48 50 90 92 96 98	-903946042746
SPT(16)	2865848794827606421	0 22 52 60 70 106 130 136 162 168 192 228 238 246 276 298	208542396614
STPT(10)	2865849034508944541	0 2 30 32 78 80 126 128 156 158	448223734734
SPT(16)	2865849305652037387	0 12 42 82 102 130 154 222 232 300 324 352 372 412 442 454	719366827580
SPT(16)	2865849507604331257	0 64 66 72 76 142 154 162 184 192 204 270 274 280 282 346	921319121450
TPT(14)	2865850162719897929	0 2 30 32 270 272 300 302 342 344 408 410 420 422	1576434688122